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" LET it be granted that a straight line may be drawn from any one point to any other point. "
The New Practical Builder and Workman's Companion, Containing a Full Display ... - Page 15
by Peter Nicholson - 1823 - 596 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...in the same plane, and which, being produced ever so far both ways, do not meet. N. * POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. HI. And...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...are in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. , III....
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Evangelical Magazine and Missionary Chronicle, Volume 3

Missions - 1825 - 618 pages
...but it would not submit. I would have -demonstrated it mathematically, and commenced by assuming " that a straight line may be drawn from any one point to any other ; " but on finding my first corollary was, " the whole is greater than its part," I left the statement,...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...to afford the student an opportunity of practical as well as mental improvement. 83. Postulate 1. If it be granted, that " a straight line may be drawn from any one point to any other point," it follows as an evident consequence, that a straight line can be drawn from the point A to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. And...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. And...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 pages
...in the same plane, and which, being produced ever so far both ways, do not meet. Poitultii.ii. — 1. Let it be granted that a straight line may be drawn from any one point to lay other point. 5. That a terminated straight line may be produced to any length in a straight tine....
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A Search of Truth in the Science of the Human Mind, Part First, Volume 1

Frederick Beasley - Psychology - 1822 - 584 pages
...points may be joined together by a right line, as that the first postulate is true, which requires it to be granted, that a straight line may be drawn from any one point to any other point? Does a recurrence to the postulate render the matter any more clear or incontrovertible? The...
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The First Six Books with Notes

Euclid - 1822 - 179 pages
...which have more than four sides, are called polygons. Postulates. 1 . Let it be granted that a right line may be drawn from any one point to any other. 2. That a terminated right line may be produced any length in a right line. 3. That a circle may be described from any centre,...
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A treatise on navigation, and nautical astronomy

Edward Riddle - Nautical astronomy - 1824 - 572 pages
...straight lines intersect each other, they cannot both be parallel to the same straight line. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a straight line may be produced to any length in the same direction. 3. That a circle...
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